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Finding the Fourth Proportional to 702,901, 970,178.34 and 401,269.96

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Solution

The fourth proportional to 702,901, 970,178.34 and 401,269.96 is: 553,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,901 : 970,178.34 = 401,269.96 : x
  2. Step 2: Convert to fraction form
    702,901/970,178.34 = 401,269.96/x
  3. Step 3: Cross multiply
    702,901x = 970,178.34 × 401,269.96
  4. Step 4: Simplify right side
    702,901x = 389,303,423,684.67
  5. Step 5: Solve for x
    x = 389,303,423,684.67/702,901
  6. Step 6: Final answer
    x = 553,852.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.